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$y\\E$y\E$y\\E$t\E$t\\Eȉ$t\Eȉ$t+\\E؉${y\\$U|E؉$\ye[^]`xmdsIntegrateARK45::xmdsIntegrateARK45 nxmdsIntegrateARK45s=%li xmdsIntegrateARK45::~xmdsIntegrateARK45 xmdsIntegrateARK45::processElement WARNING: ARK45 methods may not always yield correct stochastic convergence. toleranceintegration tolerance = %s cutoffcutoff = %s cutoff defaulting to 1e-3 1e-3max_iterationsMaximum Iterations must be >= 1 !Maximum iterations = %li Maximum iterations = infinity xmdsIntegrateARK45::tolerance xmdsIntegrateARK45::cutoff xmdsIntegrateARK45::writePrototypes mainInternal error in xmdsIntegrateARK45::writePrototypes: cannot find 'main' vectorcomplexdouble// integrate (ARK45) prototypes double _segment%li_timestep_error(%s* _checkfield); double _segment%li_setup_sampling(bool* _next_sample_flag,unsigned long* _next_sample_counter); void _segment%li(unsigned long cycle); void _segment%li_calculate_cross_field(); xmdsIntegrateARK45::writeRoutines xmdsIntegrateARK45::writeTimestepErrorRoutine Internal error in xmdsIntegrateARK45::writeTimestepErrorRoutine: cannot find 'main' vector/* **************************************************/ double _segment%li_timestep_error(%s* _checkfield) { double _error=1e-24; double _result[_%s_main_ncomponents]; double _peak[_%s_main_ncomponents]; for(unsigned long _i0=0;_i0<_%s_main_ncomponents;_i0++){ _peak[_i0]=0.0; _result[_i0]=0.0; } double _temp_error=0.0; double _temp_mod=0.0; unsigned long _%s_main_index_pointer=0; for(unsigned long _i0=0; _i0_peak[_i1]){ _temp_error=mod(_%s_main[_%s_main_index_pointer + _i1]-_checkfield[_%s_main_index_pointer + _i1])/mod(_%s_main[_%s_main_index_pointer + _i1]); if(fabs(_%s_main[_%s_main_index_pointer + _i1])>_peak[_i1]){ _temp_error=fabs(_%s_main[_%s_main_index_pointer + _i1]-_checkfield[_%s_main_index_pointer + _i1])/fabs(_%s_main[_%s_main_index_pointer + _i1]); _error+= 0.5*(_temp_error - _error +fabs(_temp_error - _error) ); } _temp_error=mod(_%s_main[_i1]-_checkfield[_i1])/mod(_%s_main[_i1]); _temp_error=fabs(_%s_main[_i1]-_checkfield[_i1])/fabs(_%s_main[_i1]); _error+= 0.5*(_temp_error - _error +fabs(_temp_error - _error) ); MPI_Allreduce(&_error,&_result,1,MPI_DOUBLE,MPI_MAX,MPI_COMM_WORLD); _result[0]=_error; return(_result[0]); xmdsIntegrateARK45::writeSetupSamplingRoutine double _segment%li_setup_sampling(bool* _next_sample_flag,unsigned long* _next_sample_counter) { unsigned long _number_next_mg[%li]; unsigned long _number_minima=1; unsigned long _previous_m=1; unsigned long _previous_M=1; double _%s_break_next=(double)%s; _number_next_mg[0]=%li; for(unsigned long _i0=0; _i0<%li; _i0++) _next_sample_flag[_i0]=false; if(_next_sample_counter[%i]*_previous_M==_previous_m*%li){ _number_next_mg[_number_minima]=%i; _number_minima++; else if(_next_sample_counter[%i]*_previous_M<_previous_m*%li){ _%s_break_next=_next_sample_counter[%i]*%.23e; _number_minima=1; _number_next_mg[0]=%i; _previous_M=%li; _previous_m=_next_sample_counter[%i]; for(unsigned long _i0=0;_i0<_number_minima;_i0++) _next_sample_flag[_number_next_mg[_i0]]=true; return(_%s_break_next); xmdsIntegrateARK45::writeMainIntegrateRoutine Internal error in xmdsIntegrateARK45::writeMainIntegrateRoutine: cannot find 'main' vector/* ******************************************** */ void _segment%li(unsigned long cycle) { %s *akfield_%s_main = new %s[total_local_size*_%s_main_ncomponents]; %s *aifield_%s_main = new %s[total_local_size*_%s_main_ncomponents]; %s *ajfield_%s_main = new %s[total_local_size*_%s_main_ncomponents]; %s *alfield_%s_main = new %s[total_local_size*_%s_main_ncomponents]; %s *_%s_check = new %s[total_local_size*_%s_main_ncomponents]; %s *akfield_%s_main = new %s[_%s_size*_%s_main_ncomponents]; %s *aifield_%s_main = new %s[_%s_size*_%s_main_ncomponents]; %s *ajfield_%s_main = new %s[_%s_size*_%s_main_ncomponents]; %s *alfield_%s_main = new %s[_%s_size*_%s_main_ncomponents]; %s *_%s_check = new %s[_%s_size*_%s_main_ncomponents]; const double _var = 1/_%s_dx%li; double *_noise_vector = new double[_%s_size*_n_noises]; double *_noise_vector2 = new double[_%s_size*_n_noises]; // Cash-Karp coefficients double a_raw[7]; double a[7]; double b[7][7]; double c[7]; double cs[7]; // linear combinations for the (k_i)s double d[4]; double e[5]; double f[6]; double g[7]; a_raw[0]=0.0; a_raw[1]=0.0; a_raw[2]=1.0/5; a_raw[3]=3.0/10; a_raw[4]=3.0/5; a_raw[5]=1.0; a_raw[6]=7.0/8.0; a[0]=0.0; a[1]=0.0; for(unsigned long _i0=2;_i0<7;_i0++) a[_i0]=a_raw[_i0]-a_raw[_i0-1]; b[2][1]=1.0/5; b[3][1]=3.0/40; b[3][2]=9.0/40; b[4][1]=3.0/10; b[4][2]=-9.0/10; b[4][3]=6.0/5; b[5][1]=-11.0/54; b[5][2]=5.0/2; b[5][3]=-70.0/27; b[5][4]=35.0/27; b[6][1]=1631.0/55296; b[6][2]=175.0/512; b[6][3]=575.0/13824; b[6][4]=44275.0/110592; b[6][5]=253.0/4096; c[0]=0.0; c[1]=37.0/378; c[2]=0.0; c[3]=250.0/621; c[4]=125.0/594; c[5]=0.0; c[6]=512.0/1771; cs[0]=0.0; cs[1]=2825.0/27648; cs[2]=0.0; cs[3]=18575.0/48384; cs[4]=13525.0/55296; cs[5]=277.0/14336; cs[6]=1.0/4; d[0]=0.0; d[1]=1.0-b[3][1]/c[1]; d[2]=b[3][1]/c[1]; d[3]=b[3][2]; e[0]=0.0; e[1]=1.0-b[4][1]/c[1]; e[2]=b[4][1]/c[1]; e[3]=b[4][2]; e[4]=b[4][3]; f[0]=0.0; f[1]=1.0-b[5][1]/c[1]; f[2]=b[5][1]/c[1]; f[3]=b[5][2]; f[4]=b[5][3]-b[5][1]/c[1]*c[3]; f[5]=b[5][4]-b[5][1]/c[1]*c[4]; double _den=c[1]*cs[4]-cs[1]*c[4]; g[0]=0.0; g[1]=( b[6][4]*(cs[1]-c[1]) + b[6][1]*(c[4]-cs[4]) )/_den + 1.0; g[2]= b[6][2]; g[3]=( b[6][4]*(cs[1]*c[3] - c[1]*cs[3]) + b[6][1]*(cs[3]*c[4] - c[3]*cs[4]) )/_den + b[6][3]; g[4]=( b[6][1]*cs[4]-b[6][4]*cs[1] )/_den; g[5]= b[6][5] + cs[5]*( b[6][1]*c[4]-b[6][4]*c[1] )/_den; g[6]=( -b[6][1]*c[4]+b[6][4]*c[1] )/_den; double _step = %s/(double)%li; double _min_step=%s; double _max_step=0.0; double _tolerance=%s; if(_half_step) _tolerance=_tolerance/16.0; double _error; bool _discard=false; bool _break_next=false; bool _next_sample_flag[%li]; for(unsigned long _i0=0;_i0<%li;_i0++) unsigned long _next_sample_counter[%li]; _next_sample_counter[_i0]=1; const double %s_ini=%s; double _%s_break_next=_segment%li_setup_sampling(_next_sample_flag,_next_sample_counter); if((%s-%s_ini+_step)>=_%s_break_next){ _break_next=true; _step=_%s_break_next-%s+%s_ini; unsigned long _step_counter=0; unsigned long _max_steps; _max_steps=%li; else _max_steps=%li; do{ do{ _make_noises(_gen1,_var/_step,_noise_vector,_%s_size*_n_noises); _make_noises(_gen,_var/_step,_noise_vector,_%s_size*_n_noises); _error=_segment%li_timestep_error(_%s_check); if(_error<_tolerance){; if(_step>_max_step) _max_step=_step; if(!_break_next) if(_step<_min_step) _min_step=_step; _step*=0.92*pow(fabs(_tolerance/_error),0.2); _discard=false; } else{ %s-=_step; _step*=0.92*pow(fabs(_tolerance/_error),0.25); _discard=true; _break_next=false; _segment%li_reset(aifield_%s_main,_step); _step_counter++; if(_step_counter>= _max_steps){ _break_next=true; _next_sample_flag[%li]=true; }while(_discard); if(_break_next){ if(_next_sample_flag[%li]){ _mg%li_sample(); _next_sample_counter[%li]++; if(_next_sample_flag[%li]) _next_sample_flag[%li]=true; else{ _break_next=false; _%s_break_next=_segment%li_setup_sampling(_next_sample_flag,_next_sample_counter); } if((%s-%s_ini+_step)>_%s_break_next){ if(rank==0) printf("Current timestep: %%e\n",_step/(0.92*pow(fabs(_tolerance/_error),0.2))); _step=_%s_break_next-%s+%s_ini; }while(!_next_sample_flag[%li]); printf("Segment %li: minimum timestep: %%e maximum timestep: %%e \n",_min_step,_max_step); if(_step_counter>= _max_steps){ printf(" \n "); if(_half_step) printf("Reached %li iterations, exiting at %s = %%e \n ",%s); else printf("Reached %li iterations, exiting at %s = %%e \n ",%s); printf("Last error: %%e \n ",_error); printf("Last planned timestep: %%e \n ",_step); delete[] _noise_vector; delete[] _noise_vector2; delete[] akfield_%s_main; delete[] aifield_%s_main; delete[] ajfield_%s_main; delete[] alfield_%s_main; delete[] _%s_check; xmdsIntegrateARK45IP::writeCalculateCrossFieldRoutine // ************************* void _segment%li_calculate_cross_field() { const unsigned long _%s_cross_size = _%s_lattice%li*_%s_lattice%liconst unsigned long _%s_cross_size = 1; Internal error in xmdsIntegrateARK45::writeCalculateCrossFieldRoutine: cannot find main vector%s *_%s_%s_old = new %s[_%s_cross_size*_%s_%s_ncomponents]; Internal error in xmdsIntegrateARK45::writeCalculateCrossFieldRoutine: cannot find cross vector%s *_%s_%s_K = new %s[_%s_cross_size*_%s_%s_ncomponents]; %s *_%s_%s_I = new %s[_%s_cross_size*_%s_%s_ncomponents]; %s *_%s_%s_d = new %s[_%s_cross_size*_%s_%s_ncomponents]; %s d%s_d%s; double %s = _%s_xmin%li; for(unsigned long _i%li=0; _i%li<_%s_lattice%li; _i%li++) { for(unsigned long _i%li=0; _i%li<_%s_lattice%li-1; _i%li++) { %sunsigned long _%s_%s_index_pointer_begin=0; %s_%s_%s_index_pointer_begin += _i%li*_%s_%s_ncomponents; %s// copy cross vectors into K and I vectors %sfor(unsigned long _j=0; _j<_%s_cross_size*_%s_%s_ncomponents; _j++) { %s _%s_%s_K[_j] = _%s_%s[_%s_%s_index_pointer_begin + _j]; %s _%s_%s_I[_j] = _%s_%s[_%s_%s_index_pointer_begin + _j]; %s } %s// store main vectors into old %sfor(unsigned long _j=0; _j<_%s_cross_size*_%s_%s_ncomponents; _j++) %s _%s_%s_old[_j] = _active_%s_%s[_%s_%s_index_pointer_begin + _j]; %s// ********** step 1 *************** %s { %s unsigned long _%s_%s_index_pointer=_%s_%s_index_pointer_begin; %s // calculate k1 %s unsigned long _%s_%s_index_pointer_local=0; double %s = _%s_xmin%li; for(unsigned long _i%li=0; _i%li<_%s_lattice%li; _i%li++) { // *********** cross_propagation code *********** %s // ********************************************** %s _%s_%s_d[_%s_%s_index_pointer_local + %li] = d%s_d%s*_%s_dx%li; %s _%s_%s_index_pointer += _%s_%s_ncomponents; %s _%s_%s_index_pointer_local += _%s_%s_ncomponents; %s += _%s_dx%li; } %s// add to K cross vector %s _%s_%s_K[_j] += _%s_%s_d[_j]/6; %s// create next cross vectors %s _%s_%s[_%s_%s_index_pointer_begin + _j] = _%s_%s_I[_j] + _%s_%s_d[_j]/2; %s// create midpoint main vectors for steps 2 and 3 %sfor(unsigned long _j=_%s_%s_index_pointer_begin; _j < _%s_%s_index_pointer_begin + _%s_cross_size*_%s_%s_ncomponents; _j++) %s _active_%s_%s[_j] = (_active_%s_%s[_j]+_active_%s_%s[_%s_cross_size*_%s_%s_ncomponents + _j])/2; %s// move cross dim to lattice midpoint for steps 2 and 3 %s%s += _%s_dx%li/2; %s// ********** step 2 *************** %s _%s_%s_K[_j] += _%s_%s_d[_j]/3; %s// ********** step 3 *************** %s _%s_%s[_%s_%s_index_pointer_begin + _j] = _%s_%s_I[_j] + _%s_%s_d[_j]; %s// move main vectors to next lattice point for step 4 %s _active_%s_%s[_j] = _active_%s_%s[_%s_cross_size*_%s_%s_ncomponents + _j]; %s// move cross dim to next lattice point for step 4 %s// ********** step 4 *************** %s// copy I cross vector back into old main cross vector %s _%s_%s[_%s_%s_index_pointer_begin + _j] = _%s_%s_I[_j]; %s// copy K cross vector into next main cross vector %s _%s_%s[_%s_%s_index_pointer_begin + _%s_cross_size*_%s_%s_ncomponents + _j] = _%s_%s_K[_j]; %s// copy old main vectors back into last lattice point %s _active_%s_%s[_%s_%s_index_pointer_begin + _j] = _%s_%s_old[_j]; %s} %s += _%s_dx%li; delete[] _%s_%s_old; delete[] _%s_%s_K; delete[] _%s_%s_I; delete[] _%s_%s_d; xmlhttp://www.w3.org/XML/1998/namespacexmlnshttp://www.w3.org/2000/xmlns45:!' 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